Zuri made 2 spheres using plaster. The smaller sphere has a radius of 6 cm. The larger sphere has a radius of 24 cm.How much more plaster did Zuri use for the larger sphere?
Use 3.14 to approximate pi and express your answer in hundredths.

cm3

Answers

Answer 1

Answer:

The requried Zuri used 56901.16 cubic cm more plaster for the larger sphere than for the smaller sphere.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius.

For the smaller sphere, the volume is:

V1 = (4/3) x 3.14 x 6³

V1 = 904.32 cubic cm

For the larger sphere, the volume is:

V2 = (4/3) x 3.14 x 24³

V2 = 57905.76 cubic cm

To find out how much more plaster Zuri used for the larger sphere, we need to subtract the volume of the smaller sphere from the volume of the larger sphere:

V2 - V1 = 57905.76 - 904.32

V2 - V1 = 56972.16 cubic cm

Therefore, Zuri used 56901.16 cubic cm more plaster for the larger sphere than for the smaller sphere.

Learn more about Volume here:
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Answer 2

Answer: volume of a sphere is 4/3 times pi times radius^3

so first calculate the smaler sphere
radius=6
pi is aprox 3.14
4/3 times 3.14 times r^3
4/3 times 3.14 times 6^3
4/3 times 3.14 times 216
904.32 cm^3=volume

volume of larger
radius=24
4/3 times 3.14 times 24^3
4/3 times 3.14 times 13824
57876.48 cm^3

so then subtract the volume of the smaller sphere from the larger sphere

57876.48-904.32=56972.16 cm

he used
56972.16 cm^3 plaster

I think you mean to the hundreth's place which is the place denoted by the x in 0.0x so it is to the hundreth's place

he used
56972.16 cm^3 plaster

I got this from The Brainliest Answer!

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Answers

Answer:

The number 1 it's factor's are 1 and 0

The number 3 it's factor's are 0, 1, 3

The number 5 it's factor's are 0,1,5

Step-by-step explanation:

Solve for x. x2 + 7x + 10 = 0

Answers

the answer is negative 80 or like this -80

Solve: 3x - 2x + 4 = 5x - 4x - 8

Answers

Answer:

No solution for the given algebraic expression.

Step-by-step explanation:

To solve the algebraic equation we must isolating the variable or rewriting the equation so that the one expression is only the variable with the coefficient 1.

Solve: $3x-2x+4=5x-4x-8$

Now put every terms that contains variables on one side of the equation and those terms on the other side which does not contains the variable.

$3x-2x-5x+4x=-4-8$

Combine like terms:

$x-x=-12$

$0=-12$ which is not true.

therefore, the given expression have NO SOLUTION.

The equation $3x-2x+4=5x-4x-8$ has $\boxed{\text{\bf no solution}}$ .

Further explanation:

Given:

The equation is $3x-2x+4=5x-4x-8$ .

Calculation:

The above equation involves only one variable.

To solve a one variable linear equation, arrange all the terms that contain variable on one side and the terms that are free from variable on the other side.

Write the given equation by taking terms that contains variable on left side and the terms which are free from variables on right side.

Subtract $(5x-4x)$ from both the sides of the given equation.

$\begin{aligned}3x-2x+4&=5x-4x-8\n3x-2x-5x+4x+4&=5x-4x-8-5x+4x\n7x-7x+4&=-8\end{aligned}$

Subtract $4$ from both the sides of the above equation,

$\begin{aligned}7x-7x+4-4&=-8-4\n0&=-12\end{aligned}$

The above equation shows that the value of $0$ is equal to $-12$ .

The statement “0 is equal to -12” is a false statement.

Therefore, the equation $3x-2x+4=5x-4x-8$ has no solution.

No solution means there exists no value of $x$ that satisfies the given equation.

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Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Linear equation

Keywords: Equation, variable, 3x - 2x + 4 = 5x - 4x – 8, constant, linear equation, no solution, solve, addition, subtraction, isolate, plug, substitute.

The plates at the local restaurant have a diameter of 12.6 inches. What is the circumference of the plates?Use 3.14 for π.

Answers

124.6266 inches

The easiest way to work this out is use the formula

$\pi r^(2)$ to get r just divide the diameter by 2

this is really simple all you have to do is divide an you will get 124.6266
=D

In a basketball game Caroline made 14 out of 20 shots and I made 16 out of 24 shots explain how you can tell if the two players made a proportional number of shots

Answers

Answer:

NOT proportional

Step-by-step explanation:

In this problem:

- Caroline made 14 out of 20 shots

- You made 16 out of 24 shots

We want to see if the fractions of succesfull made shots is proportional or not.

We can do it as follows:

- The fractions of shots made by Caroline is:

$c=(14)/(20)$

We can simplify this fraction by dividing both numerators and denominators by 2; we get:

$c=(7)/(10)$

Which cannot be further simplified.

- Instead, the fractions of shots made by you is:

$y=(16)/(24)$

We can simplify this fraction by dividing both numerator and denominator by 8; then we get:

$y=(2)/(3)$

Which cannot be further simplified.

By comparing the two fractions, we notice that they are different: therefore, the two fractions are NOT proportional.

a person deposits $5000 in an account paying 2.5%, compounded semiannually. Find the amount in the account after 4.5 years

Answers

Answer:

$5,591.46

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

$A=P(1+(r)/(n) )^(nt)$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 2.5% into a decimal:

2.5% -> $(2.5)/(100)$ -> 0.025

Since the interest is compounded semiannually, we will use 2 for n. Lets plug in the values now:

$A=5,000(1+(0.025)/(2))^(2(4.5))$

$A=5,591.46$

The amount in the account after 4.5 years is $5,591.46

Final answer:

To find the amount in the account with compound interest, we use the compound interest formula. Substituting given values into the formula, we can calculate the final amount in the account after the specified time period.

Explanation:

The subject of this question is the calculation of compound interest. In this case, the person is investing $5000 at an interest rate of 2.5%, compounded semiannually, with the principle kept on deposit for 4.5 years.

The formula used to calculate compound interest is: A = P * (1 + r/n)^(nt), where:

A is the amount of money accumulated after n years, including interest.
P is the principal amount (the initial amount of money).
r is the annual interest rate (in decimal).
n is the number of times that interest is compounded per year.
t is the time the money is invested for in years.

Substituting the given values into the formula we get: A = 5000 * (1 + 0.025/2)^(2*4.5). Solving, you obtain the amount in the account after 4.5 years.